1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 78
    5. Issue 4

    • New exact solutions to the generalized KdV equation with generalized evolution

      Yongan Xie Shengqiang Tang Dahe Feng

      Research Articles Volume 78 Issue 4 April 2012 pp 499-511

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/078/04/0499-0511

    • Keywords

       

      Improved Fan subequation method; bifurcation method; generalized KdV equation; soliton solution; kink solution; periodic solution.

    • Abstract

       

      In this paper, by using a transformation and an application of Fan subequation, we study a class of generalized Korteweg–de Vries (KdV) equation with generalized evolution. As a result, more types of exact solutions to the generalized KdV equation with generalized evolution are obtained, which include more general single-hump solitons, multihump solitons, kink solutions and Jacobian elliptic function solutions with double periods.

    • Author Affiliations

       

      Yongan Xie1 Shengqiang Tang1 Dahe Feng1

      1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China

    • Dates

       
      Published
      April 2012
      Manuscript received
      13 July 2011
      Manuscript revised
      11 November 2011
      Accepted
      8 December 2011

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.

Contact | Site index